Find the first six terms of the sequence. a1 = 4, an = an-1 + 8
OPTIONS ARE
a. 0, 8, 16, 24, 32, 40
b. 12, 20, 28, 36, 44, 52
c. 4, 12, 20, 28, 36, 44
d. 4, 8, 16, 24, 32, 40
Answers
a 1 = 4, a n = a n-1 + 8, d = 8
a 2 = 4 + 8 = 12
a 3 = 12 + 8 = 20
a 4 = 20 + 8 = 28
a 5 = 28 + 8 = 36
a 6 = 36 + 8 = 44
Answer:
C ) 4, 12, 20, 28, 36, 44
Answer:
(C) 4, 12, 20, 28, 36, 44
Step-by-step explanation:
Given: and
To find: Find the first six terms of the sequence
Solution: Since, it is given that and
, then the first term is 4 and the common difference, d=8.
Thus, the next terms are:
,
,
,
and
Thus, the first six terms of the sequence will be 4, 12, 20, 28, 36, 44.
thus, option C is correct.
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39, 760, 761
Answers
Here we'll try
m + n = 13
m - n = 3
2m = 16
m = 8
2n = 10
n = 5
2mn = 2 * 8 * 5 = 80
So this choice is no good.
Let's go with
m + n = 39
m - n = 1
2m = 40
m = 20
2n = 38
n = 19
Thus
x = 20² - 19² = 39
y = 2 * 20 * 19 = 760
z = 20² + 19² = 761
Answers
Answer:
Step-by-step explanation:
Simplify .
Apply rule :
Answers
-- Mark a dot on the y-axis, at y = -5 .
-- From there, move 1 unit to the right and 2 units up and make a mark. If this
is too tiny for you, then you can move 7 units to the right and 14 units up, or
11 units to the right and 22 units up ... any way you want to do it, as long as
the distance 'up' is double the distance to the right, because the slope is 2 to 1.
Wherever you wind up, mark a dot.
-- Using your pencil and your ruler, draw a straight line between the two dots you have
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Equation F: a = 3b + 4
Which statement describes a step that can be used to find the solution to the set of equations?
Equation F can be written as 5b + 1 = 3b + 4.
Equation F can be written as b + 1 = 3b + 4.
Equation F can be written as a = 3(a − 1) + 4.
Equation F can be written as a = 5(a − 4) + 1.
Answers
Answer:
Equation F can be written as 5b + 1 = 3b + 4
Step-by-step explanation:
A set of equations is given below:
Equation E: a = 5b + 1
Equation F: a = 3b + 4
In substitution method we solve the equation for a variable and substitute it in other equation
Given a= 5b +1
Also equation F : a= 3b+4
both equation have 'a' on the left hand side
So we substitute 5b+1 for 'a' in second equation
Substitute 5b+1 in the place of 'a' in Equation F
Equation F can be written as 5b + 1 = 3b + 4
h(x) = x^2 - x + 7
Find f[g(5)]
A. 92
B. 2
C. 30
D. 242
Answers
Answer:
A
Step-by-step explanation:
Evaluate g(5), then use the value obtained to evaluate f(x) , that is
g(5) = 2(5)² - 4(5) = 2(25) - 20 = 50 - 20 = 30, then
f(30) = 3(30) + 2 = 90 + 2 = 92
Answers
The simplified form of the expression :
8r + 12 = 8r + 12
Given,
2(4r+6)=2/3(12r+18)
Here,
2(4r+6)=2/3(12r+18)
Simplifying the above expression :
Multiply 2 inside the bracket,
8r +12 = 2/3(12r+18)
Multiply 2/3 inside the bracket,
8r + 12 = 8r + 12
Hence both LHS and RHS are equal .
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2(4r) + 2(6) = ²/₃(12r) + ²/₃(18)
8r + 12 = 8r + 12
- 8r - 8r
12 = 12